A fractional-order delay differential model for Ebola infection and CD8 + T-cells response: Stability analysis and Hopf bifurcation

V. Preethi Latha, Fathalla A. Rihan, R. Rakkiyappan, G. Velmurugan

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

In this paper, we study a fractional-order model with time-delay to describe the dynamics of Ebola virus infection with cytotoxic T-lymphocyte (CTL) response in vivo. The time-delay is introduced in the CTL response term to represent time required to stimulate the immune system. Based on fractional Laplace transform, some conditions on stability and Hopf bifurcation are derived for the model. The analysis shows that the fractional-order with time-delay can effectively enrich the dynamics and strengthen the stability condition of fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

Original languageEnglish
Article number1750111
JournalInternational Journal of Biomathematics
Volume10
Issue number8
DOIs
Publication statusPublished - Nov 1 2017

Keywords

  • CTL response
  • Ebola virus
  • Hopf bifurcation
  • stability
  • time-delay

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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